Perturbation of fuzzy sets and fuzzy reasoning based on normalized Minkowski distances

被引：27
|
作者：
Dai, Songsong [1 ]
Pei, Daowu [1 ]
Wang, San-min [1 ]
机构：
[1] Zhejiang Sci Tech Univ, Dept Math, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2012年 / 189卷 / 01期
关键词：
Fuzzy set; Fuzzy reasoning; Minkowski distance; Perturbation; SYSTEMS VARIABLES; LOGIC FOUNDATION; DELTA-EQUALITIES; ROBUSTNESS; SIMILARITY; CONTINUITY; INFERENCE;
D O I：
10.1016/j.fss.2011.07.012
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we extend the concept of the perturbation of fuzzy sets based on normalized Minkowski distances and present some new conclusions on perturbation raised by various operations of fuzzy sets. These operations are induced by triangular norms and conorms. Furthermore, we discuss the perturbation of fuzzy reasoning. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：63 / 73
页数：11
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